We study k-valued solutions of Wilson’s \(\mu \)-functional equation on semigroups and monoids where k is an algebraically closed field of characteristic \(\ne 2\). As applications we solve the functional equation on some finite groups and find the continuous, complex valued solutions on compact groups.

中文翻译：

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k值的威尔逊函数

我们研究半群和单半体上的威尔逊\（\ mu \） -函数方程的k值解，其中k是特征\（\ ne 2 \）的代数闭合域。作为应用程序，我们在一些有限的组上求解泛函方程，并在紧的组上找到连续的，复数值解。